GCD of 329, 400, 12, 688 Calculator

Given Input numbers are 329, 400, 12, 688

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 329, 400, 12, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 400, 12, 688 is 1.

Therefore, GCD of numbers 329, 400, 12, 688 is 1

Given Input Data is 329, 400, 12, 688

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 329 is 7 x 47

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(329, 400) = 131600

GCD(329, 400) = ( 329 x 400 ) / 131600

GCD(329, 400) = 131600 / 131600

GCD(329, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 329, 400, 12, 688 is 1

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• GCD of 774, 376, 35, 826
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1. What is the GCD of 329, 400, 12, 688?

GCD of 329, 400, 12, 688 is 1

2. Where do I get the detailed procedure to find GCD of 329, 400, 12, 688?

You can find a detailed procedure to find GCD of 329, 400, 12, 688 on our page.

3. How to find GCD of 329, 400, 12, 688 on a calculator?

You can find the GCD of 329, 400, 12, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.